Chapter : Part A:
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1 Objective Part A: Use the formula for circumference to solve real-world problems Circumference FORMULA: 1) A circular mat has a diameter of 53 centimeters. Lily wants to sew a decorative braid around the mat. How many centimeters of braid does she need? Use 3.14 for π and round to the nearest tenth! 2) A metal worker cuts out a large semicircle with a diameter of 28 centimeters. Then the metal worker cuts a smaller semicircle out of the larger one and removes it. The diameter of the semicircular piece that is removed is 14 centimeters. Find the distance around the shape after the smaller semicircle is removed. Use 3.14 for π and round to the nearest tenth!
2 3) The shape of a table-top is made up of a semicircle and a quadrant. Find the distance around the table-top. Use 3.14 for π and round to the nearest tenth! 4) The circumference of the moon is the approximate distance around a circle with a radius 1,736 kilometers. Find the circumference of the moon. Use 3.14 for π and round to the nearest tenth! 5) A greeting card is made up of three semicircles. O is the center of the large semicircle. Sarah wants to decorate the distance around the card with a ribbon. How much ribbon does Sarah need? Use 3.14 for π and round to the nearest tenth! 6) As part of her artwork, Sally bends a length of wire into the shape shown. The shape is made up of a semicircle and a quadrant. Find the length of the wire. Use 3.14 for π and round to the nearest tenth!
3 Part B: Use the formula for area of a circle to solve real-world problems. Area FORMULA: 1) A jewelry designer is making a pendant. The pendant will be a circular dis (center O) with a circular hold cut out of it, as shown. The radius of the disc is 35 millimeters. Find the area of the pendant. Use 3.14 for π and round to the nearest tenth! 2) A graphic designer creates a design for a company logo. The design is a green semicircle with a white quadrant, as shown. Find the area of the green part of the design. Use 3.14 for π and round to the nearest tenth!
4 3) Judy baked a pizza and had part of it for lunch. After the meal, the shape of the remaining pizza is made up of a semicircle and a quadrant. Find the area of the remaining pizza. Use 3.14 for π and round to the nearest tenth! 4) A rug is made up of a quadrant and two semicircles. Find the area of the rug. Use 3.14 for π and round to the nearest tenth! Part C: Solve real-world problems involving rates and circles 1) The tire of a car has a radius of 10.5 inches. How many revolutions does the tire need to make for the car to travel 13,200 inches? Use 3.14 for π and round to the nearest tenth!
5 2) A field is shaped like a diagram below. It is a rectangle with semicircles at two ends. There is a running track around the field. a. Find the length of the running track. Use 3.14 for π and round to the nearest tenth! b. An athlete ran around the track one time at an average speed of 8 meters per second. How many seconds did it take him to run around the track? c. A gardener is hired to cut the grass in the field. She cuts the grass at an average rate of 40 square meters per minute. How many hours will she take to finish the entire field? Round your answer to the nearest hour.
6 3) The diameter of a bicycle wheel is 60 centimeters. How far does the wheel travel when it makes 35 revolutions? Use 3.14 for π and round to the nearest tenth! 4) A park is shaped like the diagram below. It is a rectangle with semicircles at the two ends. There is a running track out the park. a. The total length of the track is 220 yards. Find the length of PS. b. A jogger runs once around the track in 125 seconds. What is his average speed in yards per second? c. A gardener is hired to water the grass in the park. Using a machine, he waters 4 square yards per second. How many minutes will he take to water the entire park? Round your answer to the nearest minute.
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